1530216997920 has 288 divisors, whose sum is σ = 5775537850992. Its totient is φ = 366488395776.

The previous prime is 1530216997919. The next prime is 1530216997961. The reversal of 1530216997920 is 297996120351.

1530216997920 is a `hidden beast` number, since 1 + 5 + 302 + 169 + 97 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 297291019536 + 1232925978384 = 545244^2 + 1110372^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411987 + ... + 1797266.

Almost surely, 2^{1530216997920} is an apocalyptic number.

1530216997920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530216997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887768925496).

1530216997920 is an abundant number, since it is smaller than the sum of its proper divisors (4245320853072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1530216997920 is a wasteful number, since it uses less digits than its factorization.

1530216997920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209324 (or 2209313 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 1530216997920 in words is "one trillion, five hundred thirty billion, two hundred sixteen million, nine hundred ninety-seven thousand, nine hundred twenty".